Greatest Common Factor of 3324 and 3330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3324, 3330 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3324 and 3330 is 6.

GCF(3324,3330) = 6

GCF of 3324 and 3330

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3324 and 3330

GCF of 3324 and 3330 is 6

Prime Factorization of 3324


2 3324
2 1662
3 831
277 277
1

Prime factors of 3324 are 2,3,277. Prime factorization of 3324 in exponential form is:

3324 = 22×31×2771

Prime Factorization of 3330


2 3330
3 1665
3 555
5 185
37 37
1

Prime factors of 3330 are 2,3,5,37. Prime factorization of 3330 in exponential form is:

3330 = 21×32×51×371

∴ So by taking common prime factors GCF of 3324 and 3330 is 6

Greatest Common Factor of 3324 and 3330 by matching factors method

Factors of 3324

List of positive integer factors of 3324 that divides 3324 without a remainder.

1,2,3,4,6,12,277,554,831,1108,1662,3324

Factors of 3330

List of positive integer factors of 3330 that divides 3330 without a remainder.

1,2,3,5,6,9,10,15,18,30,37,45,74,90,111,185,222,333,370,555,666,1110,1665,3330

Greatest Common Factor

We found the factors and prime factorization of 3324 and 3330. The biggest common factor number is the GCF number.
So the greatest common factor 3324 and 3330 is 6.

Also check out the Least Common Multiple of 3324 and 3330

Properties of GCF 3324 and 3330

(i) The GCF of 3324 and 3330 is associative

GCF of 3324 and 3330 = GCF of 3330 and 3324

Related Greatest Common Factor of 3324

Related Greatest Common Factor of 3330

Frequently Asked Questions on GCF of 3324 and 3330

1. What is the GCF of 3324 and 3330?

Answer: GCF of 3324 and 3330 is 6.

2. What are the Factors of 3324?

Answer: Factors of 3324 are 1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324. There are 12 integers that are factors of 3324. The greatest factor of 3324 is 3324.

3. What are the Factors of 3330?

Answer: Factors of 3330 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330. There are 24 integers that are factors of 3330. The greatest factor of 3330 is 3330.

4. How to Find the GCF of 3324 and 3330?

Answer:

Greatest Common Factor of 3324 and 3330 = 6

Step 1: Find the prime factorization of 3324

3324 = 2 x 2 x 3 x 277

Step 2: Find the prime factorization of 3330

3330 = 2 x 3 x 3 x 5 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3324 and 3330 is 6